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Finding the Fourth Proportional to 78,356.78, 117,454.73 and 30,952.67

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Solution

The fourth proportional to 78,356.78, 117,454.73 and 30,952.67 is: 46,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356.78 : 117,454.73 = 30,952.67 : x
  2. Step 2: Convert to fraction form
    78,356.78/117,454.73 = 30,952.67/x
  3. Step 3: Cross multiply
    78,356.78x = 117,454.73 × 30,952.67
  4. Step 4: Simplify right side
    78,356.78x = 3,635,537,868.65
  5. Step 5: Solve for x
    x = 3,635,537,868.65/78,356.78
  6. Step 6: Final answer
    x = 46,397.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.